Question

Given BE= 2x+ 6 and ED= 5x– 12 in parallelogram ABCD, find BD.


answer choices
36,12,6,18

Answer 1

$\\ \sf\Rrightarrow BE=ED$

$\\ \sf\Rrightarrow 2x+6=5x-12$

$\\ \sf\Rrightarrow -3x=-12-6$

$\\ \sf\Rrightarrow -3x=-18$

$\\ \sf\Rrightarrow x=3$

BD=2x+6+5x-12=7x-6=7(3)-6=21-6=15